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Global Plotting
Survival analysis typically examines the relationship between time to death as a function of covariates. From this we can get the instantaneous rate of death at time t f(t), which is the cumulative distribution of the likelihood of death.
Let T represent survival time.
\[ P(t) = Pr(T<t)\] with a pdf \[p(t) = \frac{dP(t)}{dt}\]
The instantaneous risk of death at time t (h(t)), conditional on survival to that time:
\[ h(t) = \lim{\Delta_t\to 0} \frac{Pr[(t<T<t + \Delta_t)]|T>t}{\Delta t}\]
with covariates: \[log (h_i(t)) = \alpha + \beta_i *x\]
The cox model has no intercept, making it semi-parametric \[ log(h_i(t)) = h_0(t) + \beta_1 * x\]
## used (Mb) gc trigger (Mb) max used (Mb)
## Ncells 1708742 91.3 4677176 249.8 34847686 1861.1
## Vcells 224665164 1714.1 1023680496 7810.1 1279093678 9758.8